Chord Length Calculator
Radius
Central Angle
A chord is a straight line segment connecting two points on a circle. The chord length calculator uses the radius and central angle to find both the chord length and the sagitta (the height of the arc above the chord).
- 1Chord = 2r × sin(θ/2)
- 2Sagitta = r × (1 − cos(θ/2))
- 3θ is the central angle in radians
- 4Maximum chord is the diameter (θ = 180°)
r = 10, θ = 60°=Chord = 2×10×sin(30°) = 10
r = 5, θ = 90°=Chord = 2×5×sin(45°) ≈ 7.071
| Angle (°) | Chord | Sagitta |
|---|---|---|
| 30 | 5.18 | 0.67 |
| 60 | 10.00 | 1.34 |
| 90 | 14.14 | 2.93 |
| 120 | 17.32 | 5.00 |
| 180 | 20.00 | 10.00 |
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